Geodesic
On a Theorem of Goldschmidt Applied to Groups with a Coprime Automorphism
Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 201-206

Voir la notice de l'article provenant de la source Cambridge University Press

In a recent important paper of Goldschmidt [3], all finite simple groups were determined in which a non-trivial abelian 2-subgroup controls 2-fusion. Our purpose here is to present a straightforward application of this deep result to the following general question: If p is a prime and G is a finite group of order not divisible by p which admits an automorphism σ of order pn, what conditions on the fixed point subgroup CG(σ) will ensure that G is solvable? 
Pettet, Martin R. On a Theorem of Goldschmidt Applied to Groups with a Coprime Automorphism. Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 201-206. doi: 10.4153/CJM-1976-025-1
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